Details

Time bar (total: 4.8s)

sample79.0ms

Algorithm
intervals
Results
32.0ms94×body1280valid
15.0ms80×body640valid
11.0ms257×body80valid
5.0ms37×body320valid
2.0ms22×body160valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
4.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series263.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (sinh y) y)
64.0ms
(sinh y)
107.0ms
(* (sin x) (/ (sinh y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0333428
11323384
25002382

prune157.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh000
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
0.0b
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.1b
(* 1/120 (pow y 5))
0.1b
(* 1/6 (pow y 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
10×times-frac
9×associate-*l* add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 associate-*r/ div-exp pow-prod-down flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
13.0ms
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms
(* 1/120 (pow y 5))
9.0ms
(* 1/6 (pow y 3))

series364.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
217.0ms
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
53.0ms
(* 1/120 (pow y 5))
38.0ms
(* 1/6 (pow y 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0500789
12615706
25001706

prune262.0ms

Filtered
113 candidates to 76 candidates (67.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
11.8b
(* (* (sin x) (sinh y)) (/ 1 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
7×cbrt-unprod
4×sinh-def associate-*r/ div-exp associate-*l* pow-prod-down
3×add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
1.0ms
(sinh y)
5.0ms
(* (sin x) (sinh y))
9.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

series273.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sinh y)
92.0ms
(* (sin x) (sinh y))
115.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0418471
12052387
25001347

prune115.0ms

Filtered
76 candidates to 48 candidates (63.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done022
Total76480

Merged error: 0b

Counts
80 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(sqrt (sin x))
0.0b
(sqrt (sin x))
0.2b
(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
11×pow1
10×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×prod-exp cbrt-unprod
4×add-log-exp
3×pow-prod-down
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/
1×cbrt-undiv sinh-def div-exp associate-*r* *-commutative
Counts
4 → 58
Calls
4 calls:
1.0ms
(sinh y)
2.0ms
(sqrt (sin x))
2.0ms
(sqrt (sin x))
9.0ms
(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sinh y)
21.0ms
(sqrt (sin x))
18.0ms
(sqrt (sin x))
107.0ms
(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0289393
11055314
25001294

prune135.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done033
Total70474

Merged error: 0b

Counts
74 → 4

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.4s

Algorithm
intervals
Results
958.0ms3004×body1280valid
486.0ms2424×body640valid
406.0ms8438×body80valid
175.0ms1232×body320valid
63.0ms647×body160valid

Profiling

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